ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R3

doi:10.1016/S0252-9602(15)30018-7

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (3): 746-760.doi: 10.1016/S0252-9602(15)30018-7

• 论文 • 上一篇

ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R³

吴云顺^1,2, 谭忠³

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China;
3. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

收稿日期:2014-05-08 出版日期:2015-05-01 发布日期:2015-05-01
通讯作者: Yunshun WU E-mail:wuyunshun1979@163.com
基金资助:
Supported by National Natural Science Foundation of China (11271305, 11161011) and Science and Technology Foundation of Guizhou Province of China (LKS[2012]11, LKS[2013]03, LKS[2013]05).

ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R³

Yunshun WU^1,2, Zhong TAN³

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China;
3. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Received:2014-05-08 Online:2015-05-01 Published:2015-05-01
Contact: Yunshun WU E-mail:wuyunshun1979@163.com
Supported by:
Supported by National Natural Science Foundation of China (11271305, 11161011) and Science and Technology Foundation of Guizhou Province of China (LKS[2012]11, LKS[2013]03, LKS[2013]05).

摘要/Abstract

摘要：

We consider the Stokes approximation equations for compressible flows in R³. The global unique solution and optimal convergence rates are obtained by pure energy method provided the initial perturbation around a constant state is small. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. As an immediate byproduct, the usual L^p-L²(1≤ p≤ 2) type of the optimal decay rate follow without requiring that the L^p norm of initial data is small.

关键词: Stokes approximation equations, energy method, optimal decay rates, Sobolev interpolation, negative Sobolev space

Abstract:

Key words: Stokes approximation equations, energy method, optimal decay rates, Sobolev interpolation, negative Sobolev space

中图分类号:

35B40

吴云顺, 谭忠. ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R³[J]. 数学物理学报(英文版), 2015, 35(3): 746-760.

Yunshun WU, Zhong TAN. ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R³[J]. Acta mathematica scientia,Series B, 2015, 35(3): 746-760.

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ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R³

ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R³

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